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Simplifying 34 + -4n = -6(n + -5) + -6 Reorder the terms: 34 + -4n = -6(-5 + n) + -6 34 + -4n = (-5 * -6 + n * -6) + -6 34 + -4n = (30 + -6n) + -6 Reorder the terms: 34 + -4n = 30 + -6 + -6n Combine like terms: 30 + -6 = 24 34 + -4n = 24 + -6n Solving 34 + -4n = 24 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 34 + -4n + 6n = 24 + -6n + 6n Combine like terms: -4n + 6n = 2n 34 + 2n = 24 + -6n + 6n Combine like terms: -6n + 6n = 0 34 + 2n = 24 + 0 34 + 2n = 24 Add '-34' to each side of the equation. 34 + -34 + 2n = 24 + -34 Combine like terms: 34 + -34 = 0 0 + 2n = 24 + -34 2n = 24 + -34 Combine like terms: 24 + -34 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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